Know that with a $200 budget, you really aren't getting into "good active speakers." But I do think you can improve upon cheap 2.1 computer speakers
These Monoprice studio monitors
have gotten good reviews.
If you can up your budget, the Rokkit 6 G2 version
are currently on closeout pricing because of the new G3 version.
I would also consider the Cambridge Audio S30
. The Cambridge S30s were a great buy in a passive speaker at their previous price of around $225. They are on closeout because Cambridge has changed their speaker line. These are a little more colored in sound than studio monitors, but they do have excellent SQ for the price. A little bit cheaper passive speaker with excellent sound is the Pioneer SP-BS22-LR. With either of these speakers you would need an amp. The Lepai TA2020 (check Amazon) works well for the price. Or for better build quality and bit better SQ, the Indeed TA2020
. For a bit more power, the Indeed TA2021
or Topping TP21